Extended passive filtering for discrete-time singular Markov jump systems with time-varying delays.
Signal Processing(2016)
摘要
In this paper, the extended passive filtering problem is investigated for a class of discrete-time singular Markov jump systems (SMJSs) with time-varying delays. Our attention is focused on the design of a general filter which contains the mode-independent part and the mode-dependent part to address the filtering issue. By employing some novel inequalities based on Abel lemma, some sufficient conditions which ensure the considered SMJSs to be stochastically admissible with a mixed H ∞ and passive performance γ are established. Based on the conditions, an explicit expression for the desired filter is given. Two numerical examples and a dynamical Leontief model of economic systems are given to demonstrate the reduced conservatism and effectiveness of the presented general filter technique. HighlightsAn extended passive filtering problem for a class of discrete-time singular Markov jump systems with time-varying delays.Design of a general filter which contains the mode-independent part and the mode dependent part to address the filtering problem.Three illustrative example shows that the presented methods are effective and applicable.
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关键词
Singular systems,Markov jump systems,Mixed H-infinity and passive filtering,Time-varying delays
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